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**A**: However, they differ in sampling strategies and optimization objectives. In MM-QCELS, times are sampled from a continuous probability distribution, and the cost function minimizes the total empirical error in the time domain. In contrast, compressed sensing samples times uniformly at random from a discrete set, ...
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**A**: We provide a review of a set of algorithms to truncate the output of MPO-MPS multiplication**B**: These algorithms are widely used in the boundary-based algorithm to approximately contract 2D lattice tensor networks like those surveyed in Section 3.1**C**: The boundary-based contraction algorithm initiates the ...
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**A**: The second panel of Fig. 2 shows the variations of the potential with respect to the charge Q𝑄Qitalic_Q of the black hole**B**: This shift suggests that the presence of charge enhances the black hole’s ability to trap perturbations near the horizon, leading to higher QNM frequencies. The charge Q𝑄Qitalic_Q thu...
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**A**: In the present work, we aim at generating and implementing the working equations. To this end, additional aspects such as linear combinations of projection manifolds, a simple hash-table canonicalization method, and numerical results will be discussed.**B**: In the previous work, the PSA scheme has been extende...
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**A**: CDMFT calculations yield smaller pseudogap around (π/2𝜋2\pi/2italic_π / 2, π/2𝜋2\pi/2italic_π / 2) [around (π𝜋\piitalic_π, 0)] for hole (electron)-doped cuprates. c, Momentum cuts for d, e, and f. d-f, Spectral function calculated by CDMFT along cuts #1-#3 indicated in panel c. See text for details of the cal...
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**A**: Moreover, Poincaré symmetry itself is originally defined in Minkowski space. In the context of AdS/CFT, two Minkowski hypersurfaces can be found in the near-extremal D3-brane solution in decoupling limit.**B**: Otherwise, it becomes difficult to define a time evolution law by slicing the spacetime into equal-tim...
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**A**: However, to the best of our knowledge, it is not known how to extend those general conjectures to the “quantum” (i.e. general q𝑞qitalic_q) case**B**: Thus in some sense at the moment the only motivation for the equivalences (1.2.1) and (1.2.2) comes from mathematical physics. **C**: Let us note that the q=1𝑞1q...
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**A**: Therefore, we examine whether the GAN’s feature attribution is physically reasonable, using the SmoothGrad [Smilkov \BOthers**B**: For a more detailed description of the methods applied in this study we refer to the Methods section below.**C**: (\APACyear2017)] interpretability method (Methods). Moreover, the qu...
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**A**: For many important applications entanglement has been proven to be a powerful resource**B**: (2008); Reuvers (2018); Gour and Wallach (2010); Huber et al. (2017, 2018); Contreras and Goyeneche (2022).**C**: An example of resourceful states are the absolutely maximally entangled (AME) states which maximized the ...
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**A**: We consider a regularized version of our theory with finite cutoff ΛΛ\Lambdaroman_Λ. 101010Our argument, as well as those of Vafa and Witten (1984a), is formulated for a theory on the continuum. One might want to resort to lattice regularization for a fully rigorous definition of the theory**B**: Notice that the...
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**A**: We then propose half-skyrmion manipulation by sound wave perturbations, where transverse and longitudinal sound waves are coupled differently with half-skyrmion dynamics. The transverse sound wave exhibits strong attenuation due to the coupling between the sound wave propagation and half-skyrmion deformation. We...
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**A**: One of our most important goals is in Eq. (III.3) to see whether our proposed interaction model will work in accordance with the known results of cosmology. Currently, we are trying to determine the working range of the interaction model by fitting the model to the well-known results of ΛΛ\Lambdaroman_ΛCDM**B**:...
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**A**: However, the possibility to use large time steps exists at the level of the integrator structure because all these integrators have a solved closed-form of the Langevin equation, i.e. a damping factor exponential functions and/or terminal velocities**B**: The unlimited time step for the remaining integrators dep...
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**A**: To compute the scale uncertainties, we vary the factorization and renormalization scales from two to half of this central scale, resulting in nine different data sets**B**: We designate the partonic centre-of-mass energy of the event as the central choice for both the factorization and renormalization scales**C...
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**A**: To that end, we present a new Yb-based compound, YbZn2GaO5, that features an ideal triangular lattice of effective spin-1/2 moments without detectable intrinsic chemical disorder. Experiments aimed at elucidating the nature of the possible triangular lattice QSL in YbZn2GaO5 are of great importance. Thus, we gre...
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**A**: The spatial coordinate is 𝐱≡[x1,x2,x3]𝐱subscript𝑥1subscript𝑥2subscript𝑥3\mathbf{x}\equiv[x_{1},x_{2},x_{3}]bold_x ≡ [ italic_x start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT , italic_x start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT , italic_x start_POSTSUBSCRIPT 3 end_POSTSUBSCRIPT ]**B**: corresponds to the remaining fl...
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**A**: Subsequently, we will discuss the gauge invariance in the three distinct types of brane models, as characterized by the metrics (28)∼similar-to\sim∼(45) in Sec. III**B**: Finally, we summarize our findings and give another way to the constraints in Sec. IV. **C**: Our paper is structured as follows: In Sec. II, ...
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**A**: These difficulties arise in understanding the behavior and distribution of dark matter (DM) within galaxies and galaxy clusters**B**: Validating the SIDM paradigm requires crucial searches for evidence of the existence of the dark sector.**C**: To address these challenges, the self-interacting dark matter (SIDM)...
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**A**: (d) The THz bandwidth as a function of CoFeB-layer thicknesses. **B**: (b) A magnified scale of the THz signal for stacks comprising NM layers Ru, Au, and AgBi. (c) The amplitude of the emitted THz signal as a function of frequency for emitters with a constant CoFeB thickness of 2 nm**C**: Figure 3: (a) The amp...
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**A**: In the blue area, there are also two local maxima, but the local maximum on the right is greater than the one on the left**B**: In the remaining white area, there is only one local maximum. **C**: In the red area, there are two local maxima that decrease from left to right
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**A**: We note that despite being a computationally cheap method for computing constraints on the SME coefficients from multiple GW events, the SVD-assisted random draw method has certain inadequacies. There is ambiguity in the exact meaning and interpretation of the uncertainty estimates produced by this method**B**: ...
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**A**: NGF.1582.22.001). This research was supported by the Ministry of Culture and Innovation and the National Research, Development and Innovation Office (NKFIH) within the Quantum Information National Laboratory of Hungary (Grant No. 2022-2.1.1-NL-2022-00004), by the ÚNKP-22-1 New National Excellence Program of the ...
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**A**: Before proceeding, we note that the above restriction to positive temperature is important**B**: close to the configuration of minimal energy, then the phenomenology is different and KAM tori can persist in the presence of small perturbations, see [19, 26].**C**: Indeed, if we consider a system close to the gro...
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**A**: The blue dots depict the discrete lattice points used for the numerical diagonalization of the Hamiltonian in the main text and the red lines mark the interface between the inner SiGe fin and the outer Si shell including atomic size steps at random positions. (d) Valley splitting ΔΔ\Deltaroman_Δ plotted against ...
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**A**: Example applications are explored in SPECT and PET reconstruction, though the library also has capabilities for clinical CT reconstruction as well**B**: Overall, the aim of this study is to introduce the community to the PyTomography software project, demonstrate its current capabilities and flexibility, and to...
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**A**: Figure S1: (a) The band dispersion and (b) phonon angular momentum with K1=6subscript𝐾16K_{1}=6italic_K start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT = 6 meV/Å but K2=0subscript𝐾20K_{2}=0italic_K start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT = 0**B**: Other parameters are the same with those in Fig. 1(c)**C**: The black ...
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**A**: Eventually such a deformation leads to a topology-changing Lifshitz transition from a genus-zero (simply connected) to a genus-one (toroidal-shaped) Fermi surface. This transition has distinct observable signatures in material’s thermodynamic and transport properties**B**: Specifically, it leads to a changes in ...
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**A**: The structure of this expression is dictated by the interplay between the scalar field and the black hole**B**: By employing expression (71), we can compute the energy flux and angular momentum flux subsequent to the scalar field’s incidence on the black hole event horizon. With this information, we can assess w...
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**A**: This search is dedicated to fine-tuning key parameters, ensuring the VQC. Central to our research objectives is the evaluation of MAQRL and its potential contributions to the field. We are particularly interested in benchmarking MAQRL against established RL techniques to learn its advantages and areas of improve...
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**A**: To enhance the efficiency and robustness of VQE, researchers have recently introduced Conditional Value-at-Risk (CVaR) optimization, a risk assessment measure commonly used in financial risk management. **B**: The Variational Quantum Eigensolver (VQE) is a well known quantum algorithm that harnesses the power of...
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**A**: M. European Union’s Horizon Europe research and innovation programme under grant agreement No. 101070700 (project MIRAQLS).**B**: Natural Sciences and Engineering Research Council of Canada (NSERC) via the Canada Research Chair (CRC) of D.V.S.; the Fonds de Recherche du Québec Nature et Technologies (FRQNT) via...
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**A**: Firstly, the larger intrinsic loss of metal appears in the experiments especially for complex structures and also the loss of coupling between structures is not considerable in the simulations. Secondly, the thickness of substrate (Si) is only 1000 μ⁢m𝜇𝑚\mu mitalic_μ italic_m and the more information of peak r...
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**A**: Bodies immersed in a LC (that are much larger than the LC constituents) disturb the orientational order of the bulk liquid crystal. Confining or immersed boundaries introduce preferential orientations of the director field with a given strength (for instance, a tangential anchoring condition), these generally li...
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**A**: Although Zwicky’s mass estimates were inaccurate [48, 30], the principle of using the virial theorem to identify a measurement gap was sound, and the virial theorem has become widely used in physics and astrophysics. It can be used to derive classic laws such as the ideal gas law [14, 20], and extensions are app...
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**A**: In parallel, the exponential growth of computational power (Moore’s law) has allowed to deploy these new theoretical instruments through numerical simulations, constantly seeking not only to improve accuracy but also targeting more complex and realistic systems**B**: Quickly, numerical solutions became sufficien...
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**A**: The uniqueness of optimizers of (17) can be translated straightforwardly to the classification of optmizers of (9) as stated in Theorem 3 (i); we refer to [21, Eq. (4.6)] for a similar analysis.**B**: The optimal constant of the one-dimensional inequality (17) was already obtained by Nagy in 1941 [16], with 2∗=...
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**A**: Finally, in § 3.4 and § 3.5 we study the symmetry properties of the extensions and the relation with the self-adjoint realization of the Dirac operator with an AB flux, respectively.**B**: This section is devoted to the proofs of the results previously stated. The first result we prove is the classification of s...
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**A**: Valerii Kozin for valuable comments.**B**: Leggett Institute for Condensed Matter Theory, Urbana (USA), during the inauguration workshop New Horizons in Condensed Matter Physics, November, 2023, which stimulated this work. We also thank Dr**C**: We wish to acknowledge hospitality at The Anthony J
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**A**: It can be seen in Fig. 3(b) that the intracavity structure amplifies the emission of the thin GaAs layer as compared to the reference case especially at layer thicknesses below 50 nm. However, even for an emitter layer thickness of 100 nm, the boost from the cavity in Fig. 3(b) is still roughly 10 %. For more in...
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**A**: To show that the spectrum is matched, let us consider the annular region beyond the curved boundary of the cavity as an overlapped portion of space that can be unfolded into a plane space filled with complementary materials**B**: Lastly, we briefly consider the transformation enforced by a non-monotonous functi...
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**A**: (c) Phonon dispersion in the high-symmetry, ”cubic-like” phase of the BFO(3)/LFO(3) superlattice. Imaginary frequencies representing atomic displacement that would lower the energy are depicted negatively (soft modes)**B**: Figure 3: (color online) (a) HRTEM image and A-site displacements in the unconventional...
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**A**: These coefficients can be obtained by solving the Boltzmann equation**B**: In this work, we solved the Boltzmann equation by the relaxation time approximation (RTA) approach in order to determine the shear and bulk viscosities.**C**: It is evident from Eq. (44) and Eq. (45) that to determine the temperature dep...
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**A**: This leads generically to chiral spin liquid phases associated with a spontaneously broken time-reversal symmetry, while the spin-liquid tied to the quasicrystal in this work includes only plaquettes with an even number of edges and no tendency towards spontaneous breaking of this symmetry. Moreover, our quasicr...
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**A**: Beyond the formation of primordial black holes, the amplified perturbations in scalar curvature are expected to yield significant secondary tensor perturbations**B**: These aspects have been investigated in recent studies [21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36].**C**: Given the effectiv...
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**A**: This section will introduce the disturbance simulations on bi-disperse packing with surface boulders and multi-disperse packing whose particle size distribution (PSD) follows a power law**B**: The results support that the propagation preference of impact disturbance shows insensitivity to the composition of part...
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**A**: A natural next step would be to find a Heisenberg-limited algorithm for our class of fermionic Hubbard Hamiltonians that eliminates the ancilla overhead altogether, for instance by learning appropriate linear combinations of the Hamiltonian parameters from which the individual parameters can be inferred. Furthe...
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**A**: Compared with traditional optomechanical cooling schemes, the single-photon cooling rate can be increased by nearly three orders of magnitude in our proposal**B**: At the same time, the coupling strength required to achieve ground-state cooling can be greatly reduced. Thus, it should be an experimentally feasibl...
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**A**: Its longitudinal part is the SWM sum rule and defines the quantum metric g𝑔gitalic_g and its Hall part can be obtained from a Kramers-Kronig relation of the TKNN conductivity**B**: The η=0𝜂0\eta=0italic_η = 0 sum rule has no energy pre-factor**C**: It is simply the total Chern number 𝒞𝒞\mathcal{C}caligraphi...
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**A**: (2020). Additionally, we refer to Refs. Singha et al. (2023a); Majhi et al**B**: The Protvino to Super-ORCA (P2SO) is also another future long-baseline neutrino experiment with baseline 2595 km. For simulation in P2SO experiment, we have used the technical design report of Refs. Akindinov et al. (2019); Hofestä...
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**A**: It benefits in developing robust RIS-assisted wireless networks, avoiding local reflection coefficients of multiple cells, and conducting extensive computational characterization and measurements of EM patterns of manufactured RIS**B**: Consequently, in the second part, we discuss methodologies to pass the macro...
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**A**: Nine GGA exchange-correlation functionals were examined for their adherence to the local conditions of Table 1. First to be examined are non-empirical functionals, which are built to satisfy a number of exact conditions**B**: Next, the local conditions for semi-empirical functionals will be examined. These funct...
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**A**: The paper is organized as follows. In §2, we discuss the simulated data used and how it is preprocessed to fit real-time detection**B**: We conclude in §5 by outlining avenues for future work. Finally, we show the advantages of MCIF compared to a normal isolation forest in Appendix 11. **C**: In §3 we provide an...
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**A**: It is also worth mentioning that while for asymptotically flat black holes the spectrum of massive fields of various spin contains arbitrarily long lived modes, called quasi-resonances Ohashi:2004wr ; Konoplya:2006gq , we do not observe such modes, similar, in a sense, to standing waves, when the cosmological co...
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**A**: Exploring the fate of the time rondeau crystal order in three-dimensional lattices is another worthwhile direction for future research. Finally, it would be interesting to extend our analysis to other aperiodic driving protocols and investigate the emergence of other non-equilibrium phases of matter, such as tim...
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**A**: In this work, we fix the external flux to realize a Kerr non-linearity of K/2⁢π=1.2𝐾2𝜋1.2K/2\pi=1.2italic_K / 2 italic_π = 1.2 MHz, a value between the first realization of the Kerr-cat (6.7 MHz) [20] and the smaller value (0.3 MHz) in [35, 38]**B**: The nonlinearities of our circuit can be tuned with an exte...
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**A**: This reveals, in both the normal state and proximitised systems, that the topology of the system considerably modifies the nonreciprocal transport response. Interestingly, the normal state rectification is generically enhanced in the (almost) helical phase, whereas the SC diode effect is substantially reduced. W...
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**A**: Poláčková was supported by the Slovak Research and Development Agency under Contract No. APVV-19-0303.**B**: Martoňák for useful discussions. This work was supported by the Slovak Research and Development Agency under the contracts APVV-20-0425, by the QuantERA grant SiUCs and by the project skQCI (101091548), f...
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**A**: Such differences in the stability of the state based on the assumed internal structure can result in different final-state properties that could be distinguished in other production processes**B**: On the other hand, one might expect that tetraquarks could also be produced by recombination of constituent partons...
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**A**: The explicit equation for the GW self-energy reads**B**: In many-body simulations of realistic systems, the self-energy is usually approximated by low-order diagrams**C**: The self-consistent GW method is a common choice; it approximates the dynamical part of the self-energy as the sum of an infinite series of ...
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**A**: In the test, for the ion species we take mi=1subscript𝑚𝑖1m_{i}=1italic_m start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT = 1, qi=1subscript𝑞𝑖1q_{i}=1italic_q start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT = 1, ui⁢0=0.5subscript𝑢𝑖00.5u_{i0}=0.5italic_u start_POSTSUBSCRIPT italic_i 0 end_POSTSUBSCRIPT = 0.5, ...
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**A**: The absorption feature during the high state, in contrast with the absence of it during the low state, supports the interpretation that powerful emission events originating within or at the edge of the BLR evolve into fainter emission components outside of the BLR**B**: This is further supported by the detection...
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**A**: Acknowledgements.K.S. acknowledges the doctoral fellowship from UGC, Government of India**B**: J.D. and R.S**C**: gratefully acknowledge the DAE-DST, Govt. of India funding under the mega-science project – “Indian participation in the ALICE experiment at CERN” bearing Project No. SR/MF/PS-02/2021- IITI (E-37123)...
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**A**: Both J𝐽Jitalic_J and D𝐷Ditalic_D have been calculated analytically in the case of additive [31] and multiplicative [32] noise**B**: As Eq. (7) shows, the projection on the slow manifold gives rise to multiplicative noise**C**: The general expressions for the case with multiplicative noise are
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**A**: (2024), which introduced an extra term, analogous to the momentum in stochastic gradient descent, to speed up convergence**B**: The optimization is conducted with a modified version of stochastic reconfiguration (SR) algorithm named SPRING Goldshlager et al**C**: Briefly speaking, the update of the parameters a...
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**A**: This work is supported by MURI projects from the U.S. Air Force Office of Scientific Research (Grants No. FA9550-18-1-0379 and FA9550-22-1-0339). We thank Professor David A**B**: B. Miller for providing laboratory space and equipment. The authors would like to acknowledge discussions with Haiwen Wang, Professor...
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**A**: Within GR, the behaviour of perturbations on very large scales has also been investigated [24, 25, 26], as has the gauge problem [27], the consequences for the bispectra of the matter distributions [28, 29], and the resultant Hubble diagrams [30]**B**: It has even been applied to f⁢(R)𝑓𝑅f(R)italic_f ( italic_R...
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**A**: Despite Forte-I being among the best available commercial quantum computers, achieving high precision on current noisy hardware requires a workflow with several resource reduction techniques, as illustrated in Figure 2. In particular, sub-figures (b) through (d) present data on the quantum resource reduction, th...
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**A**: The equation of motion for the expectation values of the field in the interior region is then derived by taking the functional derivative of the effective action with respect to the field.**B**: The model we consider is a non-interacting continuum field theory with a locally perturbed thermal initial state, see ...
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**A**: In conventional topological phases, the energy window where nontrivial topological properties can be utilized is typically determined by the spin-orbit coupling of limited strength**B**: For instance, in chiral topological semimetals, Fermi surfaces with a nontrivial Chern number can form at any energy between ...
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**A**: [31] explored zero-inflated and hurdle models to better capture the inherent sparsity in social and biological networks. Furthermore, Dong et al. [15] and Motalebi et al. [32] specifically focused on adapting stochastic block models to account for excess zeroes, underscoring the importance of accurately modellin...
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**A**: In this work, we investigate the low-energy properties of single-mode helical states with electron-electron interactions under the influence of an applied Zeeman exchange field, resulting in the opening of a gap in the spectrum. Notably, unlike in SO coupled nanowires, the gap in this scenario is global and aris...
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**A**: In the following sections, we present a detailed model of the prisoner’s dilemma based on the cooperation tendency in Section 2**B**: The final section summarizes the main findings of the study and provides conclusions.**C**: Subsequently, we present the simulation results in Section 3, accompanied by in-depth ...
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**A**: This difference can be attributed to the geometry of the mesa in the pump deviating substantially from a standard Hall bar geometry**B**: The inclusion of Ti/Au gates as well as the fabrication process itself also affect the wafer, altering the electron density and mobility. The application of the RF signal furt...
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**A**: Since QFT is the most fundamental description of physical interactions, the ultimate test of such a program is to build a consistent covariant QFT of tachyons, which Ref. [1] has claimed to accomplish.**B**: An interesting observation of [3] is that superluminal observers actually require the introduction of no...
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**A**: Other PMs have been proposed based on the same cell arrangement [18] or on different lattices [19, 20], but they all suffer from a low bulk modulus compared to water**B**: 3D pentamodes having sound speed similar to water exist [17, 10], but their acoustic impedance is two order of magnitude lower than that of w...
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**A**: By addressing the critical issues of mesh resolution and computational efficiency, our work sets the stage for more accurate and scalable simulations, contributing to the broader fluid dynamics and materials science field**B**: Future research directions that build on this work include (a) extension to more comp...
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**A**: Since Ω⊂B2⁢R0+1⁢(x)Ωsubscript𝐵2subscript𝑅01𝑥\displaystyle\Omega\subset B_{2R_{0}+1}(x)roman_Ω ⊂ italic_B start_POSTSUBSCRIPT 2 italic_R start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT + 1 end_POSTSUBSCRIPT ( italic_x ) and x∉Ω𝑥Ω\displaystyle x\notin\Omegaitalic_x ∉ roman_Ω with δ⁢(x)<1𝛿𝑥1\displaystyle\delta(x)<1it...
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**A**: However, unlike the stationary superlattice in heterostructures, scattering by the moving crystalline layer transfers energy to electrons in graphene, thereby inducing a finite drag current. The drag effect considered here also bears some analogy to the acousto-electric effect, where electric current is generate...
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**A**: Combaining the holomorphic primary states above with the anti-holomorphic ones we can construct the complete primary fields of the model**B**: In this case the primary fields of the model are given by diagonal pairing of holomorphic and anti-holomorphic factors: **C**: In general, the set of (quasi-) local field...
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**A**: the usage of conformal flat metric as a vacuum solution and the unphysical solutions associated with it. Harada new gravity theory shows that accelerating expansion of the universe naturally appears as a consequence of the beyond general relativity gravitational field equations even in the absence of the convent...
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**A**: FreeGS features a Picard iteration-based static inverse solver for identifying the coil currents required to maintain different types of plasma configuration prior to experimentation—a brief introduction to constrained analysis can be found in Jeon (2015)[Sec**B**: II.7.]. In conjunction with other equilibrium c...
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**A**: In the case of the Heisenberg algebra, the right-hand side is proportional to the identity operator so its expectation value is a constant, and one can never perfectly localize a state in phase space**B**: When the the commutators are non-constant, as in (54), the situation might be different. The uncertainty re...
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**A**: Moreover, triadic percolation on spatial networks leads to topological changes in the structure of the giant component generating non-trivial spatio-temporal patterns, as shown in Ref. [32].**B**: If the triadic interactions are defined on top of a random network [13], the giant component becomes in general time...
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**A**: Specifically, it was found that if the system starts in a maximally entangled state prepared from an inertial perspective, entanglement is degraded due to the presence of the diamond’s causal horizons.**B**: Other findings on the thermality of causal diamonds have confirmed this picture [19, 20, 21, 22, 23, 24, ...
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**A**: Later, the energy extraction process was considered for higher- dimensional BHs using the PP Nozawa05 . Additionally, recent studies have explored the energy-extraction process in the context of quantum Schwarzschild geometry, where the process can violate the null energy condition Battista:2023iyu . This violat...
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**A**: We specifically present an analytical solution of a unidimensional resonator, whose thermomechanical deformation profile is generally assumed to follow its thermoelastic losses**B**: The resulting thermal back-action force is derived and computed as a function of the position of a punctual probe along the resona...
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**A**: (2019). Like the turbulent fluctuations, the shape of the VDF is influenced by the processing of the shock as well as fluctuations in the magnetosheath. Nonthermal VDFs are susceptible to instabilities, which scatter free energy in velocity space, driving the plasma to relax into a state closer to thermodynamic ...
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**A**: In this paper, we introduce MOSCITO (Molecular Dynamics Subspace Clustering with Temporal Observance), a subspace clustering algorithm that uses temporal regularization to exploit sequential relationships found in molecular dynamics trajectories that describe folding activities of single molecules**B**: It finds...
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**A**: Subsequently, we describe the Chebyshev filtering subspace iteration (ChFSI) approach and focus on aspects related to adapting ChFSI for efficiently solving the underlying generalized eigenvalue problem within the given SCF iteration. Additionally, we elaborate on the key computational strategies that leverage t...
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**A**: The 𝑸>0𝑸0\bm{Q}>0bold_italic_Q > 0 (weak helical superconducting state) and 𝑸<0𝑸0\bm{Q}<0bold_italic_Q < 0 (strong helical superconducting state) regimes are colored in blue and yellow, respectively**B**: Figure S4: (a) The superconducting phase diagram of ζ𝜁\zetaitalic_ζ-lattice model with an inversion br...
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**A**: We also have shown [29] that under certain conditions, the centrifugally driven exponentially amplifying electric fields [28] might reach the Schwinger threshold, 1.4×10141.4superscript10141.4\times 10^{14}1.4 × 10 start_POSTSUPERSCRIPT 14 end_POSTSUPERSCRIPT statvolt cm-1 [19, 32, 34] with efficient production ...
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**A**: Next, we examined the shadow cast by the new black hole solutions. Constraints on the black hole shadow radius (Rshsubscript𝑅shR_{\text{sh}}italic_R start_POSTSUBSCRIPT sh end_POSTSUBSCRIPT) for various theoretical models were derived using observations of Sagittarius A* (Sgr A*) from the Event Horizon Telescop...
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**A**: To overcome disorder and related issues, it has been proposed to implement the Kitaev chain as a chain of quantum dots (QDs) [34, 35]**B**: These states share most of their properties with the MBSs found in long Kitaev chains, i.e., they are at zero energy, separated from the excited states by a finite gap, and ...
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**A**: The apparent cutoff in the distribution pattern in (a) is due to beam offset relative to the vacuum window aperture.**B**: Figure 9: (a) An x-ray image produced using 1010superscript101010^{10}10 start_POSTSUPERSCRIPT 10 end_POSTSUPERSCRIPT photons and (b) the corresponding simulation for laser-Compton x-ray be...
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**A**: However, similar RS state has been elusive in the higher dimensions for decades as SDRG breaks down[4, 5]**B**: Furthermore, numerical simulations of spin-1/2 Heisenberg antiferromagnets on a square lattice with random exchange or random site dilution reveal the AF order vanishes only in the limit of infinite ra...
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**A**: As a physically relevant example, it is shown that Hamiltonians with purely singular continuous spectrum can yield Liouvillians with purely absolutely continuous spectrum: in other words, the scattering theories for the Schrödinger and Liouville–von Neumann equations are inequivalent**B**: A further interesting ...
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**A**: Spurious sources that survive these cuts may include deblending artifacts (i.e. light from parts of the primary wrongly modeled as separate sources) and foreground stars (or background galaxies) that have poor photometry because their light is blended with light from the primary (or other sources in the field)**...
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**A**: For differential Painlevé equations, the study of the Riemann-Hilbert correspondence as t𝑡titalic_t approaches a critical point of the equation has been a major focus of attention in the field [fokasitsbook, itsnovokbook, jimbo82]**B**: We focus on q→0→𝑞0q\to 0italic_q → 0, the crystal limit, here and surprisi...
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**A**: This leads to a larger value of H0subscript𝐻0H_{0}italic_H start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT inferred from the CMB data and reduces the tension between the early time and late time measurements, without introducing new tensions in the other parameters**B**: EDE models attempt to resolve the Hubble tensio...
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**A**: A representative fit with a pXRD pattern is shown in Figure 1(c)**B**: The lattice parameters from pXRD (a𝑎aitalic_a = 6.8835(5) Å and c𝑐citalic_c = 12.4791(8) Å) at room temperature are very similar to those we found from the single crystal XRD at 250 K (a𝑎aitalic_a = 6.88280(10) Å and c𝑐citalic_c = 12.4535...
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